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Analyses on nonlinear coupling of magneto-thermo-elasticity of ferromagnetic thin shell—I: Generalized variational theoretical modeling

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Abstract

Based on the generalized variational principle of magneto-thermo-elasticity of the ferromagnetic elastic medium, a nonlinear coupling theoretical modeling for a ferromagnetic thin shell is developed. All governing equations and boundary conditions for the ferromagnetic shell are obtained from the variational manipulations on the magnetic scalar potential, temperature and the elastic displacement related to the total energy functional. The multi-field couplings and geometrical nonlinearity of the ferromagnetic thin shell are taken into account in the modeling. The general modeling can be further deduced to existing models of the magneto-elasticity and the thermo-elasticity of a ferromagnetic shell and magneto-thermo-elasticity of a ferromagnetic plate, which are coincident with the ones in literature.

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Authors and Affiliations

  1. Key Laboratory of Mechanics on Western Disasters and Environment, Ministry of Education of China, College of Civil Engineering and Mechanics, Lanzhou University, Lanzhou, 730000, China

    Xingzhe Wang & Xiaojing Zheng

Authors
  1. Xingzhe Wang
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  2. Xiaojing Zheng
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Correspondence to Xingzhe Wang.

Additional information

Project supported by the National Natural Science Foundation of China (No. 10872081) and the Fok Ying-Tong Education Foundation for Young Teachers in the Higher Education Institutions of China (No. 111005).

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Wang, X., Zheng, X. Analyses on nonlinear coupling of magneto-thermo-elasticity of ferromagnetic thin shell—I: Generalized variational theoretical modeling. Acta Mech. Solida Sin. 22, 189–196 (2009). https://doi.org/10.1016/S0894-9166(09)60265-2

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  • DOI: https://doi.org/10.1016/S0894-9166(09)60265-2

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